Parallels between explorative practice and canonical mathematics practice are recognized among mathematicians¶
Claim · All claims
Evidence · 1 study · theoreticalr2·q1
Currency · newest study 2018 · not yet checked against its sources · not reviewed by a person
Subclaims¶
Reading the evidence codes
q is the design tier, i the impact, n the sample, and the kind with its r
the rigour judged within that kind: what each code means.
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q1 i? The observation that mathematicians' own practice involves repetitive yet explorative engagement is described as commonplace among mathematicians. → Trninic 2018
Evidence¶
Trninic 2018¶
Trninic, D. (2018). Instruction, repetition, discovery: restoring the historical educational role of practice. Instructional Science. https://doi.org/10.1007/s11251-017-9443-z
q1 · i? · theoretical · r2
The paper attends to parallels in canonical mathematics practice, reporting that Roi Wagner described the observation as “a commonplace” among mathematicians present and past, via personal communication in 2017.
"The philosopher and historian of mathematics, Roi Wagner, called this “a commonplace” observation among mathematicians present and past (personal communication, 2017)."
Discussion¶
Related Claims¶
- Direct instruction and discovery are complementary rather than opposite, linked by repetitive yet explorative practice
- Empirical case of martial arts instruction grounds the argument that practice can support discovery
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
explorative-practice-parallels-mathematics-practice |
title |
Parallels between explorative practice and canonical mathematics practice are recognized among mathematicians |
description |
Parallels between explorative practice and canonical mathematics practice are recognized among mathematicians |
status |
review |
evidence_strength |
weak |
newest_evidence |
2018 |
generated |
by process:wiki-ingest on 2026-10-18 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — trninic-2018 |
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